Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 325.1 | ||
Root | \(-1.13697i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.325 |
Dual form | 729.2.e.k.406.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.595778 | + | 0.499917i | −0.421278 | + | 0.353495i | −0.828649 | − | 0.559768i | \(-0.810890\pi\) |
0.407371 | + | 0.913263i | \(0.366446\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.242262 | + | 1.37394i | −0.121131 | + | 0.686969i | ||||
\(5\) | 2.23304 | − | 0.812759i | 0.998644 | − | 0.363477i | 0.209583 | − | 0.977791i | \(-0.432789\pi\) |
0.789062 | + | 0.614314i | \(0.210567\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.434359 | − | 2.46337i | −0.164172 | − | 0.931068i | −0.949914 | − | 0.312513i | \(-0.898829\pi\) |
0.785741 | − | 0.618555i | \(-0.212282\pi\) | |||||||
\(8\) | −1.32025 | − | 2.28674i | −0.466780 | − | 0.808486i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.924081 | + | 1.60056i | −0.292220 | + | 0.506140i | ||||
\(11\) | 2.95192 | + | 1.07441i | 0.890038 | + | 0.323947i | 0.746254 | − | 0.665662i | \(-0.231851\pi\) |
0.143784 | + | 0.989609i | \(0.454073\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.02392 | + | 0.859169i | 0.283984 | + | 0.238291i | 0.773641 | − | 0.633624i | \(-0.218434\pi\) |
−0.489657 | + | 0.871915i | \(0.662878\pi\) | |||||||
\(14\) | 1.49026 | + | 1.25048i | 0.398290 | + | 0.334205i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.692233 | − | 0.251952i | −0.173058 | − | 0.0629881i | ||||
\(17\) | 3.13726 | − | 5.43389i | 0.760897 | − | 1.31791i | −0.181492 | − | 0.983392i | \(-0.558093\pi\) |
0.942389 | − | 0.334520i | \(-0.108574\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.03234 | − | 6.98422i | −0.925083 | − | 1.60229i | −0.791427 | − | 0.611263i | \(-0.790662\pi\) |
−0.133656 | − | 0.991028i | \(-0.542672\pi\) | |||||||
\(20\) | 0.575699 | + | 3.26495i | 0.128730 | + | 0.730066i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.29581 | + | 0.835605i | −0.489467 | + | 0.178152i | ||||
\(23\) | −0.704074 | + | 3.99300i | −0.146810 | + | 0.832598i | 0.819087 | + | 0.573669i | \(0.194481\pi\) |
−0.965896 | + | 0.258929i | \(0.916631\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.495652 | − | 0.415902i | 0.0991305 | − | 0.0831803i | ||||
\(26\) | −1.03954 | −0.203871 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.48975 | 0.659501 | ||||||||
\(29\) | 7.11443 | − | 5.96971i | 1.32112 | − | 1.10855i | 0.335049 | − | 0.942201i | \(-0.391247\pi\) |
0.986067 | − | 0.166347i | \(-0.0531973\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.491741 | − | 2.78880i | 0.0883192 | − | 0.500883i | −0.908272 | − | 0.418381i | \(-0.862598\pi\) |
0.996591 | − | 0.0825022i | \(-0.0262912\pi\) | |||||||
\(32\) | 5.50090 | − | 2.00216i | 0.972430 | − | 0.353936i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.847385 | + | 4.80576i | 0.145325 | + | 0.824181i | ||||
\(35\) | −2.97207 | − | 5.14778i | −0.502372 | − | 0.870133i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.76596 | + | 4.79078i | −0.454720 | + | 0.787599i | −0.998672 | − | 0.0515178i | \(-0.983594\pi\) |
0.543952 | + | 0.839117i | \(0.316927\pi\) | |||||||
\(38\) | 5.89391 | + | 2.14521i | 0.956119 | + | 0.347999i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.80674 | − | 4.03334i | −0.760013 | − | 0.637726i | ||||
\(41\) | 5.44333 | + | 4.56750i | 0.850105 | + | 0.713323i | 0.959813 | − | 0.280641i | \(-0.0905470\pi\) |
−0.109708 | + | 0.993964i | \(0.534991\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.19597 | − | 0.799267i | −0.334882 | − | 0.121887i | 0.169106 | − | 0.985598i | \(-0.445912\pi\) |
−0.503988 | + | 0.863711i | \(0.668134\pi\) | |||||||
\(44\) | −2.19131 | + | 3.79547i | −0.330353 | + | 0.572188i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.57670 | − | 2.73092i | −0.232471 | − | 0.402652i | ||||
\(47\) | 0.801248 | + | 4.54411i | 0.116874 | + | 0.662826i | 0.985805 | + | 0.167893i | \(0.0536963\pi\) |
−0.868931 | + | 0.494933i | \(0.835193\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.698301 | − | 0.254161i | 0.0997573 | − | 0.0363087i | ||||
\(50\) | −0.0873823 | + | 0.495570i | −0.0123577 | + | 0.0700842i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.42850 | + | 1.19865i | −0.198097 | + | 0.166224i | ||||
\(53\) | −0.135496 | −0.0186118 | −0.00930588 | − | 0.999957i | \(-0.502962\pi\) | ||||
−0.00930588 | + | 0.999957i | \(0.502962\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.46499 | 1.00658 | ||||||||
\(56\) | −5.05964 | + | 4.24554i | −0.676123 | + | 0.567335i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.25426 | + | 7.11324i | −0.164692 | + | 0.934015i | ||||
\(59\) | −3.75759 | + | 1.36765i | −0.489196 | + | 0.178053i | −0.574828 | − | 0.818274i | \(-0.694931\pi\) |
0.0856324 | + | 0.996327i | \(0.472709\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.0593526 | + | 0.336605i | 0.00759932 | + | 0.0430979i | 0.988372 | − | 0.152058i | \(-0.0485899\pi\) |
−0.980772 | + | 0.195156i | \(0.937479\pi\) | |||||||
\(62\) | 1.10120 | + | 1.90733i | 0.139852 | + | 0.242232i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.53974 | + | 2.66690i | −0.192467 | + | 0.333363i | ||||
\(65\) | 2.98474 | + | 1.08636i | 0.370212 | + | 0.134746i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.75461 | + | 6.50689i | 0.947376 | + | 0.794943i | 0.978854 | − | 0.204562i | \(-0.0655769\pi\) |
−0.0314778 | + | 0.999504i | \(0.510021\pi\) | |||||||
\(68\) | 6.70579 | + | 5.62682i | 0.813196 | + | 0.682353i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.34415 | + | 1.58114i | 0.519225 | + | 0.188983i | ||||
\(71\) | 4.09540 | − | 7.09344i | 0.486035 | − | 0.841837i | −0.513837 | − | 0.857888i | \(-0.671776\pi\) |
0.999871 | + | 0.0160515i | \(0.00510955\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.15722 | + | 10.6646i | 0.720648 | + | 1.24820i | 0.960740 | + | 0.277449i | \(0.0894890\pi\) |
−0.240092 | + | 0.970750i | \(0.577178\pi\) | |||||||
\(74\) | −0.747095 | − | 4.23698i | −0.0868480 | − | 0.492539i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.5728 | − | 3.84817i | 1.21278 | − | 0.441416i | ||||
\(77\) | 1.36448 | − | 7.73837i | 0.155497 | − | 0.881869i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.12600 | − | 2.62302i | 0.351702 | − | 0.295113i | −0.449771 | − | 0.893144i | \(-0.648494\pi\) |
0.801473 | + | 0.598031i | \(0.204050\pi\) | |||||||
\(80\) | −1.75056 | −0.195718 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.52638 | −0.610287 | ||||||||
\(83\) | −0.699573 | + | 0.587012i | −0.0767881 | + | 0.0644329i | −0.680374 | − | 0.732865i | \(-0.738183\pi\) |
0.603586 | + | 0.797298i | \(0.293738\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.58917 | − | 14.6839i | 0.280835 | − | 1.59269i | ||||
\(86\) | 1.70788 | − | 0.621616i | 0.184165 | − | 0.0670306i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.44038 | − | 8.16879i | −0.153545 | − | 0.870795i | ||||
\(89\) | −1.86437 | − | 3.22919i | −0.197623 | − | 0.342293i | 0.750134 | − | 0.661286i | \(-0.229989\pi\) |
−0.947757 | + | 0.318992i | \(0.896656\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.67171 | − | 2.89548i | 0.175243 | − | 0.303529i | ||||
\(92\) | −5.31556 | − | 1.93471i | −0.554186 | − | 0.201707i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.74904 | − | 2.30672i | −0.283542 | − | 0.237920i | ||||
\(95\) | −14.6809 | − | 12.3187i | −1.50622 | − | 1.26387i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.63467 | + | 2.05085i | 0.572115 | + | 0.208233i | 0.611845 | − | 0.790978i | \(-0.290428\pi\) |
−0.0397303 | + | 0.999210i | \(0.512650\pi\) | |||||||
\(98\) | −0.288973 | + | 0.500515i | −0.0291907 | + | 0.0505597i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.451345 | + | 0.781752i | 0.0451345 | + | 0.0781752i | ||||
\(101\) | −1.77498 | − | 10.0664i | −0.176617 | − | 1.00165i | −0.936261 | − | 0.351306i | \(-0.885738\pi\) |
0.759643 | − | 0.650340i | \(-0.225374\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.01939 | + | 2.91882i | −0.790174 | + | 0.287600i | −0.705409 | − | 0.708801i | \(-0.749236\pi\) |
−0.0847658 | + | 0.996401i | \(0.527014\pi\) | |||||||
\(104\) | 0.612870 | − | 3.47576i | 0.0600968 | − | 0.340826i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0807253 | − | 0.0677366i | 0.00784073 | − | 0.00657916i | ||||
\(107\) | 7.74500 | 0.748738 | 0.374369 | − | 0.927280i | \(-0.377859\pi\) | ||||
0.374369 | + | 0.927280i | \(0.377859\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.25438 | 0.120148 | 0.0600738 | − | 0.998194i | \(-0.480866\pi\) | ||||
0.0600738 | + | 0.998194i | \(0.480866\pi\) | |||||||
\(110\) | −4.44747 | + | 3.73187i | −0.424050 | + | 0.355820i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.319975 | + | 1.81467i | −0.0302348 | + | 0.171470i | ||||
\(113\) | −16.6897 | + | 6.07454i | −1.57003 | + | 0.571445i | −0.973006 | − | 0.230778i | \(-0.925873\pi\) |
−0.597025 | + | 0.802223i | \(0.703651\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.67312 | + | 9.48876i | 0.156020 | + | 0.884831i | ||||
\(116\) | 6.47846 | + | 11.2210i | 0.601509 | + | 1.04185i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.55497 | − | 2.69329i | 0.143147 | − | 0.247938i | ||||
\(119\) | −14.7484 | − | 5.36798i | −1.35198 | − | 0.492082i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.867002 | − | 0.727501i | −0.0788184 | − | 0.0661365i | ||||
\(122\) | −0.203636 | − | 0.170871i | −0.0184363 | − | 0.0154699i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.71250 | + | 1.35124i | 0.333393 | + | 0.121345i | ||||
\(125\) | −5.17209 | + | 8.95832i | −0.462606 | + | 0.801256i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.98279 | + | 3.43429i | 0.175944 | + | 0.304744i | 0.940488 | − | 0.339828i | \(-0.110369\pi\) |
−0.764543 | + | 0.644572i | \(0.777036\pi\) | |||||||
\(128\) | 1.61716 | + | 9.17137i | 0.142938 | + | 0.810643i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.32133 | + | 0.844896i | −0.203594 | + | 0.0741022i | ||||
\(131\) | 0.0177987 | − | 0.100941i | 0.00155508 | − | 0.00881927i | −0.984020 | − | 0.178056i | \(-0.943019\pi\) |
0.985575 | + | 0.169237i | \(0.0541303\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.4533 | + | 12.9668i | −1.33997 | + | 1.12437i | ||||
\(134\) | −7.87292 | −0.680117 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −16.5679 | −1.42068 | ||||||||
\(137\) | 5.83691 | − | 4.89775i | 0.498681 | − | 0.418443i | −0.358444 | − | 0.933551i | \(-0.616693\pi\) |
0.857125 | + | 0.515108i | \(0.172248\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.81301 | + | 10.2821i | −0.153778 | + | 0.872117i | 0.806117 | + | 0.591756i | \(0.201565\pi\) |
−0.959895 | + | 0.280361i | \(0.909546\pi\) | |||||||
\(140\) | 7.79274 | − | 2.83633i | 0.658607 | − | 0.239713i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.10618 | + | 6.27347i | 0.0928288 | + | 0.526458i | ||||
\(143\) | 2.09943 | + | 3.63631i | 0.175563 | + | 0.304084i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.0348 | − | 19.1129i | 0.916394 | − | 1.58724i | ||||
\(146\) | −8.99975 | − | 3.27564i | −0.744825 | − | 0.271094i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.91214 | − | 4.96087i | −0.485975 | − | 0.407781i | ||||
\(149\) | −6.91936 | − | 5.80603i | −0.566856 | − | 0.475648i | 0.313745 | − | 0.949507i | \(-0.398416\pi\) |
−0.880601 | + | 0.473859i | \(0.842861\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −22.4496 | − | 8.17099i | −1.82692 | − | 0.664946i | −0.993708 | − | 0.111998i | \(-0.964275\pi\) |
−0.833216 | − | 0.552948i | \(-0.813503\pi\) | |||||||
\(152\) | −10.6474 | + | 18.4419i | −0.863620 | + | 1.49583i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.05561 | + | 5.29248i | 0.246228 | + | 0.426480i | ||||
\(155\) | −1.16855 | − | 6.62716i | −0.0938599 | − | 0.532306i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.54843 | + | 0.927554i | −0.203387 | + | 0.0740269i | −0.441705 | − | 0.897160i | \(-0.645626\pi\) |
0.238318 | + | 0.971187i | \(0.423404\pi\) | |||||||
\(158\) | −0.551105 | + | 3.12547i | −0.0438436 | + | 0.248649i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 10.6564 | − | 8.94180i | 0.842465 | − | 0.706912i | ||||
\(161\) | 10.1421 | 0.799308 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −22.0489 | −1.72701 | −0.863504 | − | 0.504343i | \(-0.831735\pi\) | ||||
−0.863504 | + | 0.504343i | \(0.831735\pi\) | |||||||
\(164\) | −7.59416 | + | 6.37226i | −0.593005 | + | 0.497590i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.123333 | − | 0.699457i | 0.00957251 | − | 0.0542884i | ||||
\(167\) | −8.41101 | + | 3.06136i | −0.650863 | + | 0.236895i | −0.646287 | − | 0.763095i | \(-0.723679\pi\) |
−0.00457649 | + | 0.999990i | \(0.501457\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.94719 | − | 11.0431i | −0.149784 | − | 0.849466i | ||||
\(170\) | 5.79816 | + | 10.0427i | 0.444699 | + | 0.770241i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.63014 | − | 2.82349i | 0.124297 | − | 0.215289i | ||||
\(173\) | −2.47538 | − | 0.900966i | −0.188200 | − | 0.0684992i | 0.246201 | − | 0.969219i | \(-0.420818\pi\) |
−0.434401 | + | 0.900720i | \(0.643040\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.23981 | − | 1.04033i | −0.0937211 | − | 0.0786413i | ||||
\(176\) | −1.77272 | − | 1.48749i | −0.133624 | − | 0.112124i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.72508 | + | 0.991847i | 0.204253 | + | 0.0743421i | ||||
\(179\) | −1.84227 | + | 3.19090i | −0.137697 | + | 0.238499i | −0.926625 | − | 0.375988i | \(-0.877303\pi\) |
0.788927 | + | 0.614487i | \(0.210637\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.134255 | + | 0.232536i | 0.00997906 | + | 0.0172842i | 0.870972 | − | 0.491333i | \(-0.163490\pi\) |
−0.860993 | + | 0.508617i | \(0.830157\pi\) | |||||||
\(182\) | 0.451534 | + | 2.56078i | 0.0334699 | + | 0.189817i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 10.0605 | − | 3.66173i | 0.741672 | − | 0.269946i | ||||
\(185\) | −2.28273 | + | 12.9460i | −0.167830 | + | 0.951811i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.0992 | − | 12.6697i | 1.10416 | − | 0.926502i | ||||
\(188\) | −6.43743 | −0.469498 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 14.9049 | 1.08131 | ||||||||
\(191\) | −1.83696 | + | 1.54140i | −0.132918 | + | 0.111531i | −0.706823 | − | 0.707390i | \(-0.749872\pi\) |
0.573905 | + | 0.818922i | \(0.305428\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.0861647 | − | 0.488664i | 0.00620227 | − | 0.0351748i | −0.981550 | − | 0.191208i | \(-0.938760\pi\) |
0.987752 | + | 0.156033i | \(0.0498706\pi\) | |||||||
\(194\) | −4.38227 | + | 1.59502i | −0.314629 | + | 0.114515i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.180029 | + | 1.02099i | 0.0128592 | + | 0.0729282i | ||||
\(197\) | 11.0734 | + | 19.1797i | 0.788946 | + | 1.36649i | 0.926613 | + | 0.376016i | \(0.122706\pi\) |
−0.137667 | + | 0.990479i | \(0.543960\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.06624 | + | 1.84677i | −0.0755834 | + | 0.130914i | −0.901340 | − | 0.433113i | \(-0.857415\pi\) |
0.825756 | + | 0.564027i | \(0.190749\pi\) | |||||||
\(200\) | −1.60545 | − | 0.584335i | −0.113522 | − | 0.0413187i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.08987 | + | 5.11001i | 0.428482 | + | 0.359539i | ||||
\(203\) | −17.7959 | − | 14.9325i | −1.24902 | − | 1.04806i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.8674 | + | 5.77527i | 1.10823 | + | 0.403362i | ||||
\(206\) | 3.31861 | − | 5.74800i | 0.231218 | − | 0.400482i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.492320 | − | 0.852724i | −0.0341363 | − | 0.0591257i | ||||
\(209\) | −4.39923 | − | 24.9493i | −0.304301 | − | 1.72578i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −18.8019 | + | 6.84334i | −1.29438 | + | 0.471115i | −0.895162 | − | 0.445742i | \(-0.852940\pi\) |
−0.399216 | + | 0.916857i | \(0.630718\pi\) | |||||||
\(212\) | 0.0328255 | − | 0.186163i | 0.00225446 | − | 0.0127857i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.61430 | + | 3.87186i | −0.315427 | + | 0.264675i | ||||
\(215\) | −5.55329 | −0.378731 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.08345 | −0.480856 | ||||||||
\(218\) | −0.747330 | + | 0.627084i | −0.0506156 | + | 0.0424715i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.80848 | + | 10.2564i | −0.121928 | + | 0.691488i | ||||
\(221\) | 7.88093 | − | 2.86842i | 0.530129 | − | 0.192951i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.30578 | − | 13.0767i | −0.154407 | − | 0.875683i | −0.959326 | − | 0.282299i | \(-0.908903\pi\) |
0.804920 | − | 0.593384i | \(-0.202208\pi\) | |||||||
\(224\) | −7.32144 | − | 12.6811i | −0.489185 | − | 0.847292i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.90656 | − | 11.9625i | 0.459418 | − | 0.795735i | ||||
\(227\) | 11.7188 | + | 4.26531i | 0.777807 | + | 0.283099i | 0.700258 | − | 0.713890i | \(-0.253068\pi\) |
0.0775490 | + | 0.996989i | \(0.475291\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.6579 | + | 16.4949i | 1.29903 | + | 1.09002i | 0.990312 | + | 0.138862i | \(0.0443445\pi\) |
0.308719 | + | 0.951153i | \(0.400100\pi\) | |||||||
\(230\) | −5.74040 | − | 4.81677i | −0.378511 | − | 0.317608i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −23.0440 | − | 8.38735i | −1.51292 | − | 0.550656i | ||||
\(233\) | 2.69821 | − | 4.67344i | 0.176766 | − | 0.306167i | −0.764005 | − | 0.645210i | \(-0.776770\pi\) |
0.940771 | + | 0.339043i | \(0.110103\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.48248 | + | 9.49593i | 0.357637 | + | 0.619446i | ||||
\(236\) | −0.968743 | − | 5.49402i | −0.0630598 | − | 0.357630i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 11.4703 | − | 4.17485i | 0.743510 | − | 0.270616i | ||||
\(239\) | 1.45362 | − | 8.24387i | 0.0940266 | − | 0.533252i | −0.901015 | − | 0.433789i | \(-0.857176\pi\) |
0.995041 | − | 0.0994629i | \(-0.0317124\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.338737 | + | 0.284234i | −0.0218200 | + | 0.0183091i | −0.653632 | − | 0.756812i | \(-0.726756\pi\) |
0.631812 | + | 0.775121i | \(0.282311\pi\) | |||||||
\(242\) | 0.880231 | 0.0565834 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.476854 | −0.0305274 | ||||||||
\(245\) | 1.35276 | − | 1.13510i | 0.0864246 | − | 0.0725189i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.87184 | − | 10.6157i | 0.119102 | − | 0.675463i | ||||
\(248\) | −7.02649 | + | 2.55743i | −0.446183 | + | 0.162397i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.39700 | − | 7.92278i | −0.0883540 | − | 0.501080i | ||||
\(251\) | −8.51427 | − | 14.7471i | −0.537416 | − | 0.930832i | −0.999042 | − | 0.0437571i | \(-0.986067\pi\) |
0.461626 | − | 0.887074i | \(-0.347266\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.36850 | + | 11.0306i | −0.400384 | + | 0.693486i | ||||
\(254\) | −2.89816 | − | 1.05484i | −0.181847 | − | 0.0661869i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.2664 | − | 8.61455i | −0.641651 | − | 0.538409i | ||||
\(257\) | 15.9925 | + | 13.4193i | 0.997584 | + | 0.837073i | 0.986648 | − | 0.162867i | \(-0.0520743\pi\) |
0.0109365 | + | 0.999940i | \(0.496519\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.0029 | + | 4.73267i | 0.807961 | + | 0.294074i | ||||
\(260\) | −2.21568 | + | 3.83767i | −0.137411 | + | 0.238002i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.0398582 | + | 0.0690364i | 0.00246245 | + | 0.00426508i | ||||
\(263\) | 3.36731 | + | 19.0970i | 0.207637 | + | 1.17757i | 0.893236 | + | 0.449589i | \(0.148429\pi\) |
−0.685599 | + | 0.727980i | \(0.740459\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.302567 | + | 0.110125i | −0.0185865 | + | 0.00676495i | ||||
\(266\) | 2.72438 | − | 15.4507i | 0.167042 | − | 0.947343i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.8187 | + | 9.07797i | −0.660857 | + | 0.554525i | ||||
\(269\) | 18.6791 | 1.13889 | 0.569443 | − | 0.822031i | \(-0.307159\pi\) | ||||
0.569443 | + | 0.822031i | \(0.307159\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.9378 | 0.785917 | 0.392958 | − | 0.919556i | \(-0.371452\pi\) | ||||
0.392958 | + | 0.919556i | \(0.371452\pi\) | |||||||
\(272\) | −3.54080 | + | 2.97108i | −0.214692 | + | 0.180148i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.02903 | + | 5.83594i | −0.0621662 | + | 0.352562i | ||||
\(275\) | 1.90998 | − | 0.695175i | 0.115176 | − | 0.0419206i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.81312 | + | 10.2827i | 0.108940 | + | 0.617828i | 0.989573 | + | 0.144030i | \(0.0460061\pi\) |
−0.880634 | + | 0.473798i | \(0.842883\pi\) | |||||||
\(278\) | −4.06005 | − | 7.03221i | −0.243505 | − | 0.421764i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.84776 | + | 13.5927i | −0.468994 | + | 0.812321i | ||||
\(281\) | −13.4806 | − | 4.90655i | −0.804187 | − | 0.292700i | −0.0929668 | − | 0.995669i | \(-0.529635\pi\) |
−0.711221 | + | 0.702969i | \(0.751857\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.3194 | − | 12.0154i | −0.851198 | − | 0.714240i | 0.108855 | − | 0.994058i | \(-0.465282\pi\) |
−0.960053 | + | 0.279818i | \(0.909726\pi\) | |||||||
\(284\) | 8.75378 | + | 7.34530i | 0.519441 | + | 0.435863i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.06864 | − | 1.11689i | −0.181453 | − | 0.0660434i | ||||
\(287\) | 8.88709 | − | 15.3929i | 0.524588 | − | 0.908614i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.1848 | − | 19.3726i | −0.657929 | − | 1.13957i | ||||
\(290\) | 2.98055 | + | 16.9035i | 0.175024 | + | 0.992610i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −16.1442 | + | 5.87600i | −0.944766 | + | 0.343867i | ||||
\(293\) | −1.87335 | + | 10.6243i | −0.109442 | + | 0.620677i | 0.879911 | + | 0.475139i | \(0.157602\pi\) |
−0.989353 | + | 0.145538i | \(0.953509\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.27926 | + | 6.10802i | −0.423815 | + | 0.355623i | ||||
\(296\) | 14.6070 | 0.849017 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.02493 | 0.406943 | ||||||||
\(299\) | −4.15158 | + | 3.48359i | −0.240092 | + | 0.201461i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.01506 | + | 5.75666i | −0.0585068 | + | 0.331809i | ||||
\(302\) | 17.4598 | − | 6.35485i | 1.00470 | − | 0.365680i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.03163 | + | 5.85067i | 0.0591681 | + | 0.335559i | ||||
\(305\) | 0.406116 | + | 0.703413i | 0.0232541 | + | 0.0402773i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.0248747 | + | 0.0430843i | −0.00141967 | + | 0.00245895i | −0.866734 | − | 0.498770i | \(-0.833785\pi\) |
0.865315 | + | 0.501229i | \(0.167119\pi\) | |||||||
\(308\) | 10.3015 | + | 3.74943i | 0.586981 | + | 0.213644i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.00922 | + | 3.36413i | 0.227708 | + | 0.191070i | ||||
\(311\) | 10.1389 | + | 8.50759i | 0.574927 | + | 0.482421i | 0.883277 | − | 0.468852i | \(-0.155332\pi\) |
−0.308350 | + | 0.951273i | \(0.599777\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.1733 | + | 5.15866i | 0.801123 | + | 0.291585i | 0.709952 | − | 0.704250i | \(-0.248717\pi\) |
0.0911710 | + | 0.995835i | \(0.470939\pi\) | |||||||
\(314\) | 1.05460 | − | 1.82662i | 0.0595145 | − | 0.103082i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.84656 | + | 4.93038i | 0.160131 | + | 0.277356i | ||||
\(317\) | 1.49873 | + | 8.49970i | 0.0841769 | + | 0.477391i | 0.997531 | + | 0.0702251i | \(0.0223718\pi\) |
−0.913354 | + | 0.407166i | \(0.866517\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 27.4152 | − | 9.97831i | 1.53496 | − | 0.558678i | ||||
\(320\) | −1.27074 | + | 7.20673i | −0.0710365 | + | 0.402868i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.04242 | + | 5.07019i | −0.336731 | + | 0.282551i | ||||
\(323\) | −50.6020 | −2.81557 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.864837 | 0.0479725 | ||||||||
\(326\) | 13.1363 | − | 11.0226i | 0.727551 | − | 0.610488i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.25812 | − | 18.4777i | 0.179900 | − | 1.02026i | ||||
\(329\) | 10.8458 | − | 3.94755i | 0.597949 | − | 0.217636i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.38752 | + | 30.5541i | 0.296125 | + | 1.67941i | 0.662596 | + | 0.748977i | \(0.269455\pi\) |
−0.366471 | + | 0.930430i | \(0.619434\pi\) | |||||||
\(332\) | −0.637037 | − | 1.10338i | −0.0349619 | − | 0.0605559i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.48067 | − | 6.02869i | 0.190454 | − | 0.329875i | ||||
\(335\) | 22.6048 | + | 8.22749i | 1.23503 | + | 0.449516i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.2834 | − | 15.3416i | −0.995962 | − | 0.835711i | −0.00954207 | − | 0.999954i | \(-0.503037\pi\) |
−0.986420 | + | 0.164243i | \(0.947482\pi\) | |||||||
\(338\) | 6.68070 | + | 5.60578i | 0.363382 | + | 0.304914i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 19.5475 | + | 7.11471i | 1.06011 | + | 0.385850i | ||||
\(341\) | 4.44790 | − | 7.70399i | 0.240867 | − | 0.417194i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.68422 | − | 16.7736i | −0.522899 | − | 0.905688i | ||||
\(344\) | 1.07151 | + | 6.07685i | 0.0577721 | + | 0.327642i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.92519 | − | 0.700711i | 0.103499 | − | 0.0376704i | ||||
\(347\) | 3.80485 | − | 21.5784i | 0.204255 | − | 1.15839i | −0.694353 | − | 0.719634i | \(-0.744309\pi\) |
0.898608 | − | 0.438752i | \(-0.144580\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.1394 | − | 10.1862i | 0.649807 | − | 0.545253i | −0.257205 | − | 0.966357i | \(-0.582802\pi\) |
0.907012 | + | 0.421104i | \(0.138357\pi\) | |||||||
\(350\) | 1.25873 | 0.0672819 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.3894 | 0.980157 | ||||||||
\(353\) | 9.88725 | − | 8.29639i | 0.526245 | − | 0.441572i | −0.340557 | − | 0.940224i | \(-0.610616\pi\) |
0.866802 | + | 0.498652i | \(0.166171\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.37992 | − | 19.1685i | 0.179388 | − | 1.01736i | ||||
\(356\) | 4.88837 | − | 1.77922i | 0.259083 | − | 0.0942985i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.497603 | − | 2.82204i | −0.0262991 | − | 0.149150i | ||||
\(359\) | −12.9142 | − | 22.3681i | −0.681588 | − | 1.18054i | −0.974496 | − | 0.224404i | \(-0.927956\pi\) |
0.292909 | − | 0.956140i | \(-0.405377\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −23.0196 | + | 39.8711i | −1.21156 | + | 2.09848i | ||||
\(362\) | −0.196234 | − | 0.0714235i | −0.0103138 | − | 0.00375393i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.57322 | + | 2.99829i | 0.187288 | + | 0.157153i | ||||
\(365\) | 22.4171 | + | 18.8101i | 1.17336 | + | 0.984568i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −15.0112 | − | 5.46363i | −0.783578 | − | 0.285199i | −0.0809141 | − | 0.996721i | \(-0.525784\pi\) |
−0.702664 | + | 0.711522i | \(0.748006\pi\) | |||||||
\(368\) | 1.49343 | − | 2.58669i | 0.0778503 | − | 0.134841i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.11194 | − | 8.85413i | −0.265757 | − | 0.460304i | ||||
\(371\) | 0.0588538 | + | 0.333777i | 0.00305554 | + | 0.0173288i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.71641 | + | 0.624722i | −0.0888724 | + | 0.0323469i | −0.386074 | − | 0.922468i | \(-0.626169\pi\) |
0.297201 | + | 0.954815i | \(0.403947\pi\) | |||||||
\(374\) | −2.66195 | + | 15.0967i | −0.137646 | + | 0.780630i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 9.33336 | − | 7.83162i | 0.481331 | − | 0.403885i | ||||
\(377\) | 12.4136 | 0.639332 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.14694 | 0.0589141 | 0.0294571 | − | 0.999566i | \(-0.490622\pi\) | ||||
0.0294571 | + | 0.999566i | \(0.490622\pi\) | |||||||
\(380\) | 20.4817 | − | 17.1862i | 1.05069 | − | 0.881635i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.323852 | − | 1.83666i | 0.0165697 | − | 0.0939716i | ||||
\(383\) | −20.5112 | + | 7.46546i | −1.04807 | + | 0.381467i | −0.807935 | − | 0.589272i | \(-0.799415\pi\) |
−0.240138 | + | 0.970739i | \(0.577193\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.24249 | − | 18.3891i | −0.165253 | − | 0.937194i | ||||
\(386\) | 0.192957 | + | 0.334210i | 0.00982123 | + | 0.0170109i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.18281 | + | 7.24484i | −0.212350 | + | 0.367801i | ||||
\(389\) | 24.6164 | + | 8.95962i | 1.24810 | + | 0.454271i | 0.879759 | − | 0.475420i | \(-0.157704\pi\) |
0.368340 | + | 0.929691i | \(0.379926\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.4887 | + | 16.3529i | 0.985584 | + | 0.827003i | ||||
\(392\) | −1.50313 | − | 1.26128i | −0.0759197 | − | 0.0637042i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −16.1855 | − | 5.89104i | −0.815414 | − | 0.296787i | ||||
\(395\) | 4.84858 | − | 8.39798i | 0.243958 | − | 0.422548i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.09915 | − | 3.63584i | −0.105353 | − | 0.182478i | 0.808529 | − | 0.588456i | \(-0.200264\pi\) |
−0.913883 | + | 0.405979i | \(0.866931\pi\) | |||||||
\(398\) | −0.287994 | − | 1.63330i | −0.0144358 | − | 0.0818697i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.447894 | + | 0.163020i | −0.0223947 | + | 0.00815101i | ||||
\(401\) | −1.35963 | + | 7.71086i | −0.0678968 | + | 0.385062i | 0.931856 | + | 0.362828i | \(0.118189\pi\) |
−0.999753 | + | 0.0222335i | \(0.992922\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.89955 | − | 2.43301i | 0.144437 | − | 0.121197i | ||||
\(404\) | 14.2606 | 0.709493 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.0674 | 0.896669 | ||||||||
\(407\) | −13.3122 | + | 11.1702i | −0.659859 | + | 0.553687i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.02651 | + | 17.1642i | −0.149651 | + | 0.848716i | 0.813863 | + | 0.581057i | \(0.197361\pi\) |
−0.963514 | + | 0.267658i | \(0.913750\pi\) | |||||||
\(410\) | −12.3406 | + | 4.49161i | −0.609459 | + | 0.221825i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.06748 | − | 11.7253i | −0.101857 | − | 0.577662i | ||||
\(413\) | 5.00118 | + | 8.66229i | 0.246092 | + | 0.426243i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.08507 | + | 1.87940i | −0.0532642 | + | 0.0922563i | ||||
\(416\) | 7.35266 | + | 2.67615i | 0.360494 | + | 0.131209i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 15.0935 | + | 12.6650i | 0.738249 | + | 0.619464i | ||||
\(419\) | 8.79662 | + | 7.38124i | 0.429743 | + | 0.360597i | 0.831855 | − | 0.554993i | \(-0.187279\pi\) |
−0.402112 | + | 0.915591i | \(0.631724\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.85151 | − | 2.49375i | −0.333922 | − | 0.121538i | 0.169617 | − | 0.985510i | \(-0.445747\pi\) |
−0.503539 | + | 0.863972i | \(0.667969\pi\) | |||||||
\(422\) | 7.78066 | − | 13.4765i | 0.378757 | − | 0.656026i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.178889 | + | 0.309844i | 0.00868759 | + | 0.0150474i | ||||
\(425\) | −0.704975 | − | 3.99811i | −0.0341963 | − | 0.193937i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.803405 | − | 0.292416i | 0.0388795 | − | 0.0141510i | ||||
\(428\) | −1.87632 | + | 10.6411i | −0.0906954 | + | 0.514359i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.30853 | − | 2.77618i | 0.159551 | − | 0.133879i | ||||
\(431\) | 0.389084 | 0.0187415 | 0.00937075 | − | 0.999956i | \(-0.497017\pi\) | ||||
0.00937075 | + | 0.999956i | \(0.497017\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.1011 | 1.15822 | 0.579112 | − | 0.815248i | \(-0.303400\pi\) | ||||
0.579112 | + | 0.815248i | \(0.303400\pi\) | |||||||
\(434\) | 4.22016 | − | 3.54113i | 0.202574 | − | 0.169980i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.303888 | + | 1.72344i | −0.0145536 | + | 0.0825376i | ||||
\(437\) | 30.7271 | − | 11.1837i | 1.46988 | − | 0.534991i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.36691 | + | 36.1086i | 0.303876 | + | 1.72337i | 0.628748 | + | 0.777609i | \(0.283568\pi\) |
−0.324871 | + | 0.945758i | \(0.605321\pi\) | |||||||
\(440\) | −9.85567 | − | 17.0705i | −0.469851 | − | 0.813805i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.26131 | + | 5.64875i | −0.155125 | + | 0.268684i | ||||
\(443\) | 35.5078 | + | 12.9238i | 1.68703 | + | 0.614028i | 0.994246 | − | 0.107118i | \(-0.0341624\pi\) |
0.692782 | + | 0.721147i | \(0.256385\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.78776 | − | 5.69561i | −0.321771 | − | 0.269998i | ||||
\(446\) | 7.91101 | + | 6.63813i | 0.374597 | + | 0.314324i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7.23838 | + | 2.63456i | 0.341981 | + | 0.124471i | ||||
\(449\) | −5.89289 | + | 10.2068i | −0.278103 | + | 0.481688i | −0.970913 | − | 0.239432i | \(-0.923039\pi\) |
0.692811 | + | 0.721120i | \(0.256372\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.1609 | + | 19.3313i | 0.525547 | + | 0.910274i | ||||
\(452\) | −4.30276 | − | 24.4022i | −0.202385 | − | 1.14778i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9.11412 | + | 3.31727i | −0.427747 | + | 0.155687i | ||||
\(455\) | 1.37965 | − | 7.82441i | 0.0646792 | − | 0.366814i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.2105 | + | 12.7631i | −0.711517 | + | 0.597034i | −0.925024 | − | 0.379908i | \(-0.875956\pi\) |
0.213507 | + | 0.976942i | \(0.431511\pi\) | |||||||
\(458\) | −19.9578 | −0.932568 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −13.4423 | −0.626750 | ||||||||
\(461\) | −5.85398 | + | 4.91207i | −0.272647 | + | 0.228778i | −0.768851 | − | 0.639428i | \(-0.779171\pi\) |
0.496204 | + | 0.868206i | \(0.334727\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.77046 | + | 15.7120i | −0.128754 | + | 0.730200i | 0.850253 | + | 0.526374i | \(0.176449\pi\) |
−0.979007 | + | 0.203826i | \(0.934662\pi\) | |||||||
\(464\) | −6.42893 | + | 2.33994i | −0.298455 | + | 0.108629i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.728797 | + | 4.13321i | 0.0337609 | + | 0.191467i | ||||
\(467\) | −13.0703 | − | 22.6385i | −0.604822 | − | 1.04758i | −0.992080 | − | 0.125611i | \(-0.959911\pi\) |
0.387257 | − | 0.921972i | \(-0.373423\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.6606 | − | 21.9288i | 0.584613 | − | 1.01258i | ||||
\(470\) | −8.01351 | − | 2.91668i | −0.369636 | − | 0.134536i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.08842 | + | 6.78699i | 0.372300 | + | 0.312397i | ||||
\(473\) | −5.62359 | − | 4.71875i | −0.258573 | − | 0.216968i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.90339 | − | 1.78469i | −0.224983 | − | 0.0818871i | ||||
\(476\) | 10.9483 | − | 18.9629i | 0.501812 | − | 0.869164i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.25522 | + | 5.63820i | 0.148890 | + | 0.257885i | ||||
\(479\) | 6.83310 | + | 38.7525i | 0.312213 | + | 1.77065i | 0.587442 | + | 0.809267i | \(0.300135\pi\) |
−0.275229 | + | 0.961379i | \(0.588754\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.94820 | + | 2.52894i | −0.316811 | + | 0.115310i | ||||
\(482\) | 0.0597185 | − | 0.338680i | 0.00272010 | − | 0.0154265i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.20958 | − | 1.01496i | 0.0549811 | − | 0.0461346i | ||||
\(485\) | 14.2493 | 0.647027 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.7133 | 0.530779 | 0.265389 | − | 0.964141i | \(-0.414500\pi\) | ||||
0.265389 | + | 0.964141i | \(0.414500\pi\) | |||||||
\(488\) | 0.691370 | − | 0.580128i | 0.0312968 | − | 0.0262612i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.238488 | + | 1.35253i | −0.0107738 | + | 0.0611013i | ||||
\(491\) | 36.2250 | − | 13.1848i | 1.63481 | − | 0.595023i | 0.648691 | − | 0.761052i | \(-0.275317\pi\) |
0.986121 | + | 0.166030i | \(0.0530947\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.1190 | − | 57.3876i | −0.455736 | − | 2.58461i | ||||
\(494\) | 4.19178 | + | 7.26038i | 0.188597 | + | 0.326660i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.04304 | + | 1.80660i | −0.0468340 | + | 0.0811189i | ||||
\(497\) | −19.2527 | − | 7.00740i | −0.863601 | − | 0.314325i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −22.6455 | − | 19.0018i | −1.01375 | − | 0.850638i | −0.0249220 | − | 0.999689i | \(-0.507934\pi\) |
−0.988830 | + | 0.149051i | \(0.952378\pi\) | |||||||
\(500\) | −11.0552 | − | 9.27638i | −0.494402 | − | 0.414853i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.4450 | + | 4.52959i | 0.555445 | + | 0.202166i | ||||
\(503\) | −17.7888 | + | 30.8110i | −0.793161 | + | 1.37380i | 0.130839 | + | 0.991404i | \(0.458233\pi\) |
−0.924000 | + | 0.382392i | \(0.875100\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.1452 | − | 21.0361i | −0.540453 | − | 0.936092i | ||||
\(506\) | −1.72015 | − | 9.75548i | −0.0764702 | − | 0.433684i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.19886 | + | 1.89223i | −0.230662 | + | 0.0839541i | ||||
\(509\) | −4.92854 | + | 27.9512i | −0.218454 | + | 1.23891i | 0.656358 | + | 0.754450i | \(0.272096\pi\) |
−0.874812 | + | 0.484463i | \(0.839015\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 23.5965 | − | 19.7998i | 1.04385 | − | 0.875892i | ||||
\(512\) | −8.20265 | −0.362510 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −16.2365 | −0.716161 | ||||||||
\(515\) | −15.5353 | + | 13.0357i | −0.684567 | + | 0.574420i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.51702 | + | 14.2747i | −0.110698 | + | 0.627801i | ||||
\(518\) | −10.1128 | + | 3.68075i | −0.444330 | + | 0.161723i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.45639 | − | 8.25961i | −0.0638670 | − | 0.362208i | ||||
\(521\) | 12.7176 | + | 22.0275i | 0.557167 | + | 0.965041i | 0.997731 | + | 0.0673204i | \(0.0214450\pi\) |
−0.440565 | + | 0.897721i | \(0.645222\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.20395 | + | 7.28145i | −0.183826 | + | 0.318396i | −0.943180 | − | 0.332282i | \(-0.892182\pi\) |
0.759354 | + | 0.650677i | \(0.225515\pi\) | |||||||
\(524\) | 0.134375 | + | 0.0489085i | 0.00587020 | + | 0.00213658i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.5531 | − | 9.69416i | −0.503737 | − | 0.422686i | ||||
\(527\) | −13.6113 | − | 11.4212i | −0.592918 | − | 0.497517i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.16460 | + | 2.24373i | 0.268026 | + | 0.0975535i | ||||
\(530\) | 0.125209 | − | 0.216868i | 0.00543873 | − | 0.00942016i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −14.0719 | − | 24.3732i | −0.610093 | − | 1.05671i | ||||
\(533\) | 1.64927 | + | 9.35348i | 0.0714379 | + | 0.405144i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 17.2949 | − | 6.29482i | 0.747723 | − | 0.272149i | ||||
\(536\) | 4.64155 | − | 26.3235i | 0.200484 | − | 1.13700i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −11.1286 | + | 9.33801i | −0.479788 | + | 0.402590i | ||||
\(539\) | 2.33440 | 0.100550 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.8635 | −0.553043 | −0.276522 | − | 0.961008i | \(-0.589182\pi\) | ||||
−0.276522 | + | 0.961008i | \(0.589182\pi\) | |||||||
\(542\) | −7.70806 | + | 6.46783i | −0.331090 | + | 0.277817i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.37820 | − | 36.1726i | 0.273463 | − | 1.55089i | ||||
\(545\) | 2.80107 | − | 1.01951i | 0.119985 | − | 0.0436708i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.27340 | + | 12.8931i | 0.0972034 | + | 0.551268i | 0.994050 | + | 0.108926i | \(0.0347411\pi\) |
−0.896847 | + | 0.442342i | \(0.854148\pi\) | |||||||
\(548\) | 5.31514 | + | 9.20609i | 0.227051 | + | 0.393265i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.790392 | + | 1.36900i | −0.0337024 | + | 0.0583743i | ||||
\(551\) | −70.3817 | − | 25.6168i | −2.99836 | − | 1.09131i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.81929 | − | 6.56116i | −0.332510 | − | 0.279009i | ||||
\(554\) | −6.22071 | − | 5.21980i | −0.264293 | − | 0.221768i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −13.6878 | − | 4.98193i | −0.580490 | − | 0.211281i | ||||
\(557\) | −2.29110 | + | 3.96830i | −0.0970769 | + | 0.168142i | −0.910474 | − | 0.413567i | \(-0.864283\pi\) |
0.813397 | + | 0.581710i | \(0.197616\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.56179 | − | 2.70509i | −0.0660565 | − | 0.114413i | ||||
\(560\) | 0.760371 | + | 4.31228i | 0.0321316 | + | 0.182227i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.4843 | − | 3.81598i | 0.442255 | − | 0.160968i | ||||
\(563\) | 2.13308 | − | 12.0973i | 0.0898986 | − | 0.509840i | −0.906293 | − | 0.422650i | \(-0.861100\pi\) |
0.996192 | − | 0.0871905i | \(-0.0277889\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −32.3315 | + | 27.1293i | −1.36020 | + | 1.14134i | ||||
\(566\) | 14.5378 | 0.611071 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −21.6278 | −0.907484 | ||||||||
\(569\) | 11.1028 | − | 9.31634i | 0.465453 | − | 0.390561i | −0.379680 | − | 0.925118i | \(-0.623966\pi\) |
0.845133 | + | 0.534557i | \(0.179521\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.82814 | + | 21.7104i | −0.160203 | + | 0.908554i | 0.793672 | + | 0.608346i | \(0.208167\pi\) |
−0.953874 | + | 0.300207i | \(0.902944\pi\) | |||||||
\(572\) | −5.50467 | + | 2.00354i | −0.230162 | + | 0.0837721i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.40044 | + | 13.6135i | 0.100192 | + | 0.568218i | ||||
\(575\) | 1.31172 | + | 2.27197i | 0.0547025 | + | 0.0947475i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.7418 | − | 27.2655i | 0.655338 | − | 1.13508i | −0.326471 | − | 0.945207i | \(-0.605859\pi\) |
0.981809 | − | 0.189872i | \(-0.0608072\pi\) | |||||||
\(578\) | 16.3483 | + | 5.95031i | 0.680001 | + | 0.247500i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 23.5866 | + | 19.7915i | 0.979380 | + | 0.821798i | ||||
\(581\) | 1.74990 | + | 1.46834i | 0.0725979 | + | 0.0609169i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.399973 | − | 0.145578i | −0.0165652 | − | 0.00602923i | ||||
\(584\) | 16.2582 | − | 28.1600i | 0.672768 | − | 1.16527i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.19516 | − | 7.26623i | −0.173300 | − | 0.300165i | ||||
\(587\) | −2.49523 | − | 14.1511i | −0.102989 | − | 0.584080i | −0.992004 | − | 0.126203i | \(-0.959721\pi\) |
0.889015 | − | 0.457877i | \(-0.151390\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −21.4605 | + | 7.81097i | −0.884263 | + | 0.321845i | ||||
\(590\) | 1.28332 | − | 7.27804i | 0.0528333 | − | 0.299632i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.12173 | − | 2.61944i | 0.128302 | − | 0.107659i | ||||
\(593\) | −41.0988 | −1.68772 | −0.843862 | − | 0.536560i | \(-0.819724\pi\) | ||||
−0.843862 | + | 0.536560i | \(0.819724\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −37.2966 | −1.52901 | ||||||||
\(596\) | 9.65342 | − | 8.10018i | 0.395419 | − | 0.331796i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.731913 | − | 4.15089i | 0.0299301 | − | 0.169742i | ||||
\(599\) | −8.04580 | + | 2.92843i | −0.328742 | + | 0.119652i | −0.501118 | − | 0.865379i | \(-0.667078\pi\) |
0.172376 | + | 0.985031i | \(0.444856\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.283951 | − | 1.61037i | −0.0115826 | − | 0.0656883i | 0.978469 | − | 0.206396i | \(-0.0661734\pi\) |
−0.990051 | + | 0.140707i | \(0.955062\pi\) | |||||||
\(602\) | −2.27311 | − | 3.93713i | −0.0926449 | − | 0.160466i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 16.6651 | − | 28.8648i | 0.678094 | − | 1.17449i | ||||
\(605\) | −2.52733 | − | 0.919873i | −0.102751 | − | 0.0373982i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.03248 | + | 4.22275i | 0.204262 | + | 0.171396i | 0.739180 | − | 0.673508i | \(-0.235213\pi\) |
−0.534918 | + | 0.844904i | \(0.679658\pi\) | |||||||
\(608\) | −36.1651 | − | 30.3461i | −1.46669 | − | 1.23070i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.593602 | − | 0.216054i | −0.0240343 | − | 0.00874775i | ||||
\(611\) | −3.08374 | + | 5.34120i | −0.124755 | + | 0.216082i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.1363 | + | 22.7527i | 0.530569 | + | 0.918973i | 0.999364 | + | 0.0356656i | \(0.0113551\pi\) |
−0.468795 | + | 0.883307i | \(0.655312\pi\) | |||||||
\(614\) | −0.00671875 | − | 0.0381039i | −0.000271147 | − | 0.00153775i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −19.4971 | + | 7.09638i | −0.785562 | + | 0.285921i | ||||
\(617\) | −1.08930 | + | 6.17772i | −0.0438535 | + | 0.248706i | −0.998852 | − | 0.0479054i | \(-0.984745\pi\) |
0.954998 | + | 0.296611i | \(0.0958565\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.78493 | − | 3.17593i | 0.152129 | − | 0.127651i | −0.563546 | − | 0.826084i | \(-0.690563\pi\) |
0.715676 | + | 0.698433i | \(0.246119\pi\) | |||||||
\(620\) | 9.38839 | 0.377047 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.2936 | −0.412738 | ||||||||
\(623\) | −7.14489 | + | 5.99528i | −0.286254 | + | 0.240196i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.83028 | + | 27.3939i | −0.193211 | + | 1.09576i | ||||
\(626\) | −11.0230 | + | 4.01206i | −0.440569 | + | 0.160354i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.657012 | − | 3.72610i | −0.0262176 | − | 0.148688i | ||||
\(629\) | 17.3550 | + | 30.0598i | 0.691991 | + | 1.19856i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.46210 | − | 5.99653i | 0.137824 | − | 0.238718i | −0.788849 | − | 0.614587i | \(-0.789322\pi\) |
0.926673 | + | 0.375869i | \(0.122656\pi\) | |||||||
\(632\) | −10.1253 | − | 3.68530i | −0.402762 | − | 0.146593i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.14205 | − | 4.31469i | −0.204217 | − | 0.171358i | ||||
\(635\) | 7.21889 | + | 6.05737i | 0.286473 | + | 0.240379i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.933370 | + | 0.339719i | 0.0369815 | + | 0.0134601i | ||||
\(638\) | −11.3450 | + | 19.6502i | −0.449154 | + | 0.777957i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.0653 | + | 19.1657i | 0.437394 | + | 0.757589i | ||||
\(641\) | −5.88995 | − | 33.4036i | −0.232639 | − | 1.31936i | −0.847529 | − | 0.530749i | \(-0.821911\pi\) |
0.614890 | − | 0.788613i | \(-0.289200\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.25745 | + | 2.64150i | −0.286206 | + | 0.104170i | −0.481134 | − | 0.876647i | \(-0.659775\pi\) |
0.194928 | + | 0.980818i | \(0.437553\pi\) | |||||||
\(644\) | −2.45704 | + | 13.9346i | −0.0968210 | + | 0.549099i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 30.1476 | − | 25.2968i | 1.18614 | − | 0.995289i | ||||
\(647\) | 35.1862 | 1.38331 | 0.691655 | − | 0.722228i | \(-0.256882\pi\) | ||||
0.691655 | + | 0.722228i | \(0.256882\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.5615 | −0.493083 | ||||||||
\(650\) | −0.515251 | + | 0.432347i | −0.0202098 | + | 0.0169580i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.34163 | − | 30.2939i | 0.209194 | − | 1.18640i | ||||
\(653\) | −18.3353 | + | 6.67349i | −0.717514 | + | 0.261154i | −0.674870 | − | 0.737937i | \(-0.735800\pi\) |
−0.0426440 | + | 0.999090i | \(0.513578\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.0422958 | − | 0.239871i | −0.00165263 | − | 0.00937255i | ||||
\(656\) | −2.61726 | − | 4.53323i | −0.102187 | − | 0.176993i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.48824 | + | 7.77386i | −0.174970 | + | 0.303057i | ||||
\(659\) | −21.6942 | − | 7.89603i | −0.845085 | − | 0.307586i | −0.117050 | − | 0.993126i | \(-0.537344\pi\) |
−0.728035 | + | 0.685540i | \(0.759566\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.26760 | − | 4.42004i | −0.204886 | − | 0.171920i | 0.534571 | − | 0.845123i | \(-0.320473\pi\) |
−0.739457 | + | 0.673204i | \(0.764918\pi\) | |||||||
\(662\) | −18.4843 | − | 15.5102i | −0.718412 | − | 0.602819i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.26596 | + | 0.824741i | 0.0879362 | + | 0.0320062i | ||||
\(665\) | −23.9688 | + | 41.5152i | −0.929471 | + | 1.60989i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.8280 | + | 32.6110i | 0.729023 | + | 1.26270i | ||||
\(668\) | −2.16844 | − | 12.2978i | −0.0838995 | − | 0.475818i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −17.5805 | + | 6.39879i | −0.679195 | + | 0.247207i | ||||
\(671\) | −0.186449 | + | 1.05740i | −0.00719777 | + | 0.0408206i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −23.4964 | + | 19.7158i | −0.905718 | + | 0.759988i | −0.971300 | − | 0.237859i | \(-0.923554\pi\) |
0.0655815 | + | 0.997847i | \(0.479110\pi\) | |||||||
\(674\) | 18.5624 | 0.714997 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.6442 | 0.601700 | ||||||||
\(677\) | −10.4059 | + | 8.73161i | −0.399932 | + | 0.335583i | −0.820467 | − | 0.571693i | \(-0.806287\pi\) |
0.420535 | + | 0.907276i | \(0.361842\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.60455 | − | 14.7711i | 0.0999534 | − | 0.566864i | ||||
\(680\) | −36.9967 | + | 13.4657i | −1.41876 | + | 0.516386i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.20139 | + | 6.81344i | 0.0460037 | + | 0.260900i | ||||
\(683\) | 3.03350 | + | 5.25418i | 0.116074 | + | 0.201045i | 0.918208 | − | 0.396098i | \(-0.129636\pi\) |
−0.802135 | + | 0.597143i | \(0.796302\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.05335 | − | 15.6809i | 0.345911 | − | 0.599135i | ||||
\(686\) | 14.1550 | + | 5.15201i | 0.540442 | + | 0.196705i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.31875 | + | 1.10656i | 0.0502767 | + | 0.0421871i | ||||
\(689\) | −0.138736 | − | 0.116414i | −0.00528544 | − | 0.00443501i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.4188 | − | 7.06787i | −0.738727 | − | 0.268875i | −0.0548728 | − | 0.998493i | \(-0.517475\pi\) |
−0.683854 | + | 0.729619i | \(0.739698\pi\) | |||||||
\(692\) | 1.83756 | − | 3.18275i | 0.0698537 | − | 0.120990i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.52054 | + | 14.7580i | 0.323435 | + | 0.560206i | ||||
\(695\) | 4.30835 | + | 24.4339i | 0.163425 | + | 0.926830i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 41.8964 | − | 15.2490i | 1.58694 | − | 0.577599i | ||||
\(698\) | −2.14015 | + | 12.1374i | −0.0810058 | + | 0.459407i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.72970 | − | 1.45139i | 0.0653766 | − | 0.0548575i | ||||
\(701\) | 11.0222 | 0.416303 | 0.208151 | − | 0.978097i | \(-0.433255\pi\) | ||||
0.208151 | + | 0.978097i | \(0.433255\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 44.6131 | 1.68262 | ||||||||
\(704\) | −7.41054 | + | 6.21818i | −0.279295 | + | 0.234356i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.74310 | + | 9.88560i | −0.0656024 | + | 0.372050i | ||||
\(707\) | −24.0264 | + | 8.74489i | −0.903605 | + | 0.328885i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.90795 | − | 10.8205i | −0.0716546 | − | 0.406373i | −0.999446 | − | 0.0332746i | \(-0.989406\pi\) |
0.927792 | − | 0.373099i | \(-0.121705\pi\) | |||||||
\(710\) | 7.56897 | + | 13.1098i | 0.284058 | + | 0.492003i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.92288 | + | 8.52669i | −0.184493 | + | 0.319551i | ||||
\(713\) | 10.7895 | + | 3.92704i | 0.404068 | + | 0.147069i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.64354 | + | 6.41369i | 0.285852 | + | 0.239858i | ||||
\(716\) | −3.93778 | − | 3.30419i | −0.147162 | − | 0.123483i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 18.8762 | + | 6.87038i | 0.704454 | + | 0.256400i | ||||
\(719\) | −16.3529 | + | 28.3240i | −0.609859 | + | 1.05631i | 0.381404 | + | 0.924408i | \(0.375441\pi\) |
−0.991263 | + | 0.131898i | \(0.957893\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.6734 | + | 18.4870i | 0.397500 | + | 0.688490i | ||||
\(722\) | −6.21768 | − | 35.2622i | −0.231398 | − | 1.31232i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.352014 | + | 0.128123i | −0.0130825 | + | 0.00476164i | ||||
\(725\) | 1.04347 | − | 5.91781i | 0.0387535 | − | 0.219782i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 29.4625 | − | 24.7220i | 1.09271 | − | 0.916888i | 0.0957920 | − | 0.995401i | \(-0.469462\pi\) |
0.996913 | + | 0.0785129i | \(0.0250172\pi\) | |||||||
\(728\) | −8.82830 | −0.327199 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −22.7591 | −0.842352 | ||||||||
\(731\) | −11.2325 | + | 9.42515i | −0.415447 | + | 0.348602i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.44978 | − | 13.8934i | 0.0904849 | − | 0.513165i | −0.905553 | − | 0.424233i | \(-0.860544\pi\) |
0.996038 | − | 0.0889317i | \(-0.0283453\pi\) | |||||||
\(734\) | 11.6747 | − | 4.24924i | 0.430921 | − | 0.156842i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.12160 | + | 23.3748i | 0.151924 | + | 0.861605i | ||||
\(737\) | 15.8999 | + | 27.5395i | 0.585681 | + | 1.01443i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.92286 | − | 10.2587i | 0.217876 | − | 0.377372i | −0.736283 | − | 0.676674i | \(-0.763421\pi\) |
0.954158 | + | 0.299302i | \(0.0967539\pi\) | |||||||
\(740\) | −17.2340 | − | 6.27267i | −0.633535 | − | 0.230588i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.201924 | − | 0.169435i | −0.00741288 | − | 0.00622014i | ||||
\(743\) | −16.6749 | − | 13.9919i | −0.611743 | − | 0.513314i | 0.283453 | − | 0.958986i | \(-0.408520\pi\) |
−0.895196 | + | 0.445673i | \(0.852965\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.1701 | − | 7.34131i | −0.738974 | − | 0.268965i | ||||
\(746\) | 0.710290 | − | 1.23026i | 0.0260056 | − | 0.0450429i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 13.7494 | + | 23.8147i | 0.502729 | + | 0.870753i | ||||
\(749\) | −3.36412 | − | 19.0788i | −0.122922 | − | 0.697126i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 39.9830 | − | 14.5526i | 1.45900 | − | 0.531033i | 0.513911 | − | 0.857844i | \(-0.328196\pi\) |
0.945090 | + | 0.326811i | \(0.105974\pi\) | |||||||
\(752\) | 0.590247 | − | 3.34746i | 0.0215241 | − | 0.122069i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.39574 | + | 6.20576i | −0.269337 | + | 0.226000i | ||||
\(755\) | −56.7719 | −2.06614 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.6382 | −0.750110 | −0.375055 | − | 0.927003i | \(-0.622376\pi\) | ||||
−0.375055 | + | 0.927003i | \(0.622376\pi\) | |||||||
\(758\) | −0.683318 | + | 0.573372i | −0.0248192 | + | 0.0208258i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.78728 | + | 49.8352i | −0.318748 | + | 1.80771i | ||||
\(761\) | 46.4631 | − | 16.9112i | 1.68429 | − | 0.613030i | 0.690400 | − | 0.723428i | \(-0.257435\pi\) |
0.993887 | + | 0.110398i | \(0.0352125\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.544851 | − | 3.09000i | −0.0197249 | − | 0.111866i | ||||
\(764\) | −1.67275 | − | 2.89729i | −0.0605181 | − | 0.104820i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.48799 | − | 14.7016i | 0.306684 | − | 0.531192i | ||||
\(767\) | −5.02250 | − | 1.82804i | −0.181352 | − | 0.0660067i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16.9553 | + | 14.2272i | 0.611424 | + | 0.513046i | 0.895095 | − | 0.445876i | \(-0.147108\pi\) |
−0.283670 | + | 0.958922i | \(0.591552\pi\) | |||||||
\(770\) | 11.1248 | + | 9.33482i | 0.400910 | + | 0.336403i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.650520 | + | 0.236770i | 0.0234127 | + | 0.00852153i | ||||
\(773\) | −10.9836 | + | 19.0241i | −0.395051 | + | 0.684248i | −0.993108 | − | 0.117206i | \(-0.962606\pi\) |
0.598057 | + | 0.801454i | \(0.295940\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.916134 | − | 1.58679i | −0.0329085 | − | 0.0569992i | ||||
\(776\) | −2.74941 | − | 15.5927i | −0.0986982 | − | 0.559745i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −19.1449 | + | 6.96819i | −0.686379 | + | 0.249822i | ||||
\(779\) | 9.95104 | − | 56.4351i | 0.356533 | − | 2.02200i | ||||
\(780\) |